Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation
1 answer:
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Answer:
Hey! The answer is 25,4 centimeters.
Step-by-step explanation:
In a linear function you can use y=mx+n
So if x = hours and y= height.
You know that
So:
If you multiply (24,8=26m +n) x-1
It is: -24,8 = -26m -n
Adding up the other equation
-24,8 = -26m -n
<u>27,8 = 11m + n</u>
<u>3 = -15m</u>
<u>m= -0,2</u>
So
27,8 = 11 x 0,2 + n
27,8 = -2,2 + n
30 = n
This results that te linear function for this equation is:
y = -0,2x + 30
The answer is
y=23(-0,2) + 30
y=-4,6+30
y=25,4
Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives: